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Finding the Fourth Proportional to 4,284.30, 5,912.22 and 2,421.30

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Solution

The fourth proportional to 4,284.30, 5,912.22 and 2,421.30 is: 3,341.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,284.30 : 5,912.22 = 2,421.30 : x
  2. Step 2: Convert to fraction form
    4,284.30/5,912.22 = 2,421.30/x
  3. Step 3: Cross multiply
    4,284.30x = 5,912.22 × 2,421.30
  4. Step 4: Simplify right side
    4,284.30x = 14,315,258.29
  5. Step 5: Solve for x
    x = 14,315,258.29/4,284.30
  6. Step 6: Final answer
    x = 3,341.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.